Exponents and Logarithms Practice Questions

To review these concepts, go to Exponents and Logarithms Study Guide.

Exponents and Logarithms Practice Questions

Simplify the following.

1. 2³ · 2²
2. 4 · 4²
3. 
4. 
5.  6⁰
6. 6. 3⁸ · 3 · 3^–5
7. 9¹
8. 
9. 5^–1
10. 
11. 2^–3
12. 
13. 
14. 10^–5
15. 
16. 

Simplify the following.

17. e³ · e⁸
18. 
19. e⁰
20. 1n(e² )
21. e^ln(5)
22. ln(7) + ln(2)
23. ln(24) – ln(6)
24. Solve for x when 2^x = 10.
25. Solve for x when 8^x = 11.
26. Solve for x when 3^x · 3⁵ = 100.

Solutions